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n triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. What is RS? 4 feet 7 feet 10 feet 14 feet

User Mark Lalor
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2 Answers

4 votes

Answer:

The answer is B. on edgen.

Explanation:

B. 7 feet

User AlfredBaudisch
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2 votes

Answer : 7 feet

In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.

the diagram is attached below

Centroid divides the angle bisector into parts

NS = 2/3 of NR and SR = 1/3 of NR

So NS is 2 times of SR

NS = 2 SR

NS = (x + 10) feet, and SR = (x + 3) feet.

(x+10) =2 (x+3)

x + 10 = 2x + 6 ( subtract 2x and 10 on both sides)

-x = -4

So x=4

SR = x + 3 = 4 + 3 = 7

SR = 7 feet

n triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet-example-1
User Chintan Parekh
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